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Finding the Fourth Proportional to 75.57, 103.95 and 67.11

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Solution

The fourth proportional to 75.57, 103.95 and 67.11 is: 92.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 103.95 = 67.11 : x
  2. Step 2: Convert to fraction form
    75.57/103.95 = 67.11/x
  3. Step 3: Cross multiply
    75.57x = 103.95 × 67.11
  4. Step 4: Simplify right side
    75.57x = 6,976.08
  5. Step 5: Solve for x
    x = 6,976.08/75.57
  6. Step 6: Final answer
    x = 92.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.